Erratum: “Self-Consistent Treatment of Two-Dimensional Anderson Localization in Magnetic Fields”

1982 ◽  
Vol 51 (1) ◽  
pp. 340B-340B ◽  
Author(s):  
Daijiro Yoshioka ◽  
Yoshiyuki Ono ◽  
Hidetoshi Fukuyama
Keyword(s):  
Magnetic Fields ◽  
Anderson Localization ◽  
Two Dimensional ◽  
Self Consistent ◽  
Consistent Treatment

Stability analysis of sheared non-neutral relativistic cylindrical electron beams in applied magnetic fields

1991 ◽  
Vol 45 (2) ◽  
pp. 191-201 ◽  
Author(s):  
D. Zoler ◽  
S. Cuperman
Keyword(s):  
Stability Analysis ◽  
Magnetic Fields ◽  
Maxwell Equations ◽  
Electron Beams ◽  
Radial Electric Field ◽  
The Self ◽  
Axial Motion ◽  
Axial Velocity Component ◽  
Self Consistent ◽  
Consistent Treatment

A self-consistent stability analysis of relativistic non-neutral cylindrical electron flows propagating along applied magnetic fields is considered within the framework of the macroscopic cold-fluid-Maxwell equations. The full influence of the equilibrium self-electric and self-magnetic fields is retained. Then the E x B drift (E being the radial electric field created by the uncompensated charge) generates a radial shear, vz(r) and v0(r). The effect of the shear in the axial velocity component, as reflected in the relative axial motion of adjacent concentric layers of beam particles, is investigated. The self-consistent treatment of the problem thus shows that the equilibrium state considered in this paper is unstable.

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